Special Session 129: Qualitative and Quantitative Techniques for Differential Equations arising in Economics, Finance and Natural Sciences
Contents
The shallow water equations play a critical role in modeling and simulation of fundamental phenomena of natural science, as in storm surges that inundate coastal regions due to hurricanes or typhoons. In 2001 Dullin, Gottwald and Holm derived a new equation describing unidirectional propagation of surface waves on a shallow layer of water.
In this paper we consider the problem of group classification and conservation laws of some generalized Dullin-Gottwald-Holm equations.